QuestionVideo )）㮁， Rewrite the following equation in slope-intercept form. $y-1=\frac{1}{10}(x+10)$
竣, Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

Studdy Solution

STEP 1

1. The given equation is in point-slope form.
2. We need to rewrite it in slope-intercept form, which is $y = mx + b$ .
3. The slope-intercept form requires solving for $y$ .

STEP 2

1. Distribute the fraction on the right side of the equation.
2. Isolate $y$ to rewrite the equation in slope-intercept form.

STEP 3

Start with the given equation:
$y - 1 = \frac{1}{10}(x + 10)$
Distribute $\frac{1}{10}$ across the terms inside the parentheses:
$y - 1 = \frac{1}{10}x + \frac{1}{10} \times 10$
Calculate $\frac{1}{10} \times 10$ :
$y - 1 = \frac{1}{10}x + 1$

STEP 4

Add 1 to both sides of the equation to solve for $y$ :
$y - 1 + 1 = \frac{1}{10}x + 1 + 1$
Simplify:
$y = \frac{1}{10}x + 2$
Now the equation is in slope-intercept form, where the slope $m = \frac{1}{10}$ and the y-intercept $b = 2$ .
The equation in slope-intercept form is:
$\boxed{y = \frac{1}{10}x + 2}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms